<snip> Tom, The volume thing is what bothered me and brought up the tank to be added to the input but I see your point. Now as regards heating... heating lowers relative humidity and detracts from condensing out water.
Patrick - not to argue the point, but the differential temperature of going through the cooler is what condenses the moisture (at least up to a point). If the air is cooler, the AC portion of the cooler won't be as effective as when it was warmer. In other words, AC units are more effective when the difference in temperature that they are trying to cool is a good bit higher than the ambient room temperature. It is easier for an AC unit to achieve a 40 or so degree temperature drop (and cause condensation) with a higher air temperature.
Tom
We hold these truths to be self evident:
In the system under discussion water is neither created nor destroyed.
If water by any means is removed from the air before it goes into the compressor then there is less water available to accumulate inside the compressor.
As an example: operating a compressor in an extremely arid desert. There just isn't much water available in the incoming air stream to be condensed out by ANY MEANS.
If a dehumidifier is used to dehumidify, say the air in a basement, then if you ran an air compressor in the basement it would produce less condensate than if the basement was not dehumidified.
Similarly, if you dehumidify the air before it goes into the compressor there will be less condensate produced by the operation of the compressor.
What is debatable is whether or not any particular method of dehumidification is compatible with the input airstream requirements of the compressor, i.e. starving it for air at any part of the suction stroke of a piston style compressor or similar impediment.
As a thought experiment lets put a Freon compressor type dehumidifier in a medium (intentionally vague) size box and run it. This should significantly dry the air in the box. If we pull out some of the dry air and let regular ambient air (somewhat humid) into the box then the dehumidifier should continue to produce condensate. If the box and the dehumidifier are both properly sized, then a useful rate of air flow through the box, equivalent to the input air flow of our compressor should be maintained at a significantly lower relative humidity than the ambient air outside the box.
If there is very little moisture in the air going into the compressor then there is very little moisture to be condensed inside the compressor/tank combo. Now then, since we earlier agreed water isn't being created or destroyed if little or no water is going into the compressor then little or no water is accumulating in its tank and little or no water is in the output compressed air.
Quod erat demonstrandum.